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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

5. Rewriting Equations and Formulas

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Exercise 20 Page 40

Apply inverse operations to isolate $x .$

$x = \frac{a - d}{b + c}$

Practice makes perfect

To solve the given literal equation for

x,

we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

a = b x + c x + d

$LHS - d = RHS - d$

a - d = b x + c x

Factor out $x$

a - d = x (b + c)

$LHS / b + c = RHS / b + c$

\frac{a - d}{b + c} = x

Rearrange equation

x = \frac{a - d}{b + c}

Subchapter links

Communicate Your Answer p.35

Monitoring Progress p.36-39

Exercises p.40-42